52953028985472 has 640 divisors, whose sum is σ = 186790413381120. Its totient is φ = 13155974092800.

The previous prime is 52953028985459. The next prime is 52953028985477. The reversal of 52953028985472 is 27458982035925.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 52953028985397 and 52953028985406.

It is not an unprimeable number, because it can be changed into a prime (52953028985477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 233148447 + ... + 233375457.

It is an arithmetic number, because the mean of its divisors is an integer number (291860020908).

Almost surely, 2^{52953028985472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52953028985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93395206690560).

52953028985472 is an abundant number, since it is smaller than the sum of its proper divisors (133837384395648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52953028985472 is a wasteful number, since it uses less digits than its factorization.

52953028985472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227090 (or 227057 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 69.

The spelling of 52953028985472 in words is "fifty-two trillion, nine hundred fifty-three billion, twenty-eight million, nine hundred eighty-five thousand, four hundred seventy-two".